desire vs bespeak

desire is a noun but bespeak is not a noun.

Word	Noun	Adjective	Verb	Adverb
desire	Yes	No	Yes	No
bespeak	No	No	Yes	No

As verbs, bespeak is a hypernym of desire; that is, bespeak is a word with a broader meaning than desire:

Other hypernyms of desire include ask for, call for, quest, request.

desire (noun)	bespeak (noun)
an inclination to want things
the feeling that accompanies an unsatisfied state
something that is desired

desire (verb)	bespeak (verb)
feel or have a desire for; want strongly	express the need or desire for
express a desire for	be a signal for or a symptom of
expect and wish